Dropbox to Google Drive Sync

A number of companies send me documents in Dropbox. I am happy to get them that way. Most of these documents are .doc, .xls, and .ppt files. Since I don't use word, excel, and powerpoint anymore as part of my committment to move my entire computing experience to the cloud, I end up doing a hack which involves downloading the files to my desktop, then emailing them to myself in gmail, then opening them as google docs in google drive.

This convoluted process has the added benefit of then being able to share these documents freely with the USV team in our shared google drive. Many of the documents that are shared with me on Dropbox are shared in folders that I don't control and the rest of the USV team doesn't have access to.

What I am currently looking for and doing a fair bit of research on is the available services out there that sync Dropbox to Google Drive. I want to find one that works easily and reliably, and that allows me to automate the syncing of various dropbox folders to my google drive and then be able to open the file as a converted google doc.

I'd be grateful for advice on services that all of you are using to accomplish this task. If you are an entrepreneur who has built such a service, feel free to advocate for your service in the comments. We won't accuse you of spamming us with your marketing pitch.